1006761015761 has 8 divisors (see below), whose sum is σ = 1015093396224. Its totient is φ = 998442892960.

The previous prime is 1006761015737. The next prime is 1006761015763. The reversal of 1006761015761 is 1675101676001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006761015761 is a prime.

It is a super-2 number, since 2×1006761015761² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006761015763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3422585 + ... + 3705078.

It is an arithmetic number, because the mean of its divisors is an integer number (126886674528).

Almost surely, 2^{1006761015761} is an apocalyptic number.

It is an amenable number.

1006761015761 is a deficient number, since it is larger than the sum of its proper divisors (8332380463).

1006761015761 is a wasteful number, since it uses less digits than its factorization.

1006761015761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7128831.

The product of its (nonzero) digits is 52920, while the sum is 41.

The spelling of 1006761015761 in words is "one trillion, six billion, seven hundred sixty-one million, fifteen thousand, seven hundred sixty-one".